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Author : Francoise Chaitin-Chatelin
Release : 1996-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 587/5 ( reviews)
Book Synopsis Lectures on Finite Precision Computations by : Francoise Chaitin-Chatelin
Download or read book Lectures on Finite Precision Computations written by Francoise Chaitin-Chatelin. This book was released on 1996-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Gene H. Golub
Release : 2013-02-15
Genre : Mathematics
Kind : eBook
Book Rating : 949/5 ( reviews)
Book Synopsis Matrix Computations by : Gene H. Golub
Download or read book Matrix Computations written by Gene H. Golub. This book was released on 2013-02-15. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.
Author : Francoise Chatelin
Release : 2012-06-15
Genre : Mathematics
Kind : eBook
Book Rating : 007/5 ( reviews)
Book Synopsis Qualitative Computing: A Computational Journey Into Nonlinearity by : Francoise Chatelin
Download or read book Qualitative Computing: A Computational Journey Into Nonlinearity written by Francoise Chatelin. This book was released on 2012-06-15. Available in PDF, EPUB and Kindle. Book excerpt: High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words — nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane.The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of √2. The celebrated results of Gödel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the “Mathematics for Life” to be developed during this century.
Author :
Release : 1996
Genre : Mechanics, Applied
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Applied Mechanics Reviews by :
Download or read book Applied Mechanics Reviews written by . This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elias N. Houstis
Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 412/5 ( reviews)
Book Synopsis Enabling Technologies for Computational Science by : Elias N. Houstis
Download or read book Enabling Technologies for Computational Science written by Elias N. Houstis. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Enabling Technologies for Computational Science assesses future application computing needs, identifies research directions in problem-solving environments (PSEs), addresses multi-disciplinary environments operating on the Web, proposes methodologies and software architectures for building adaptive and human-centered PSEs, and describes the role of symbolic computing in scientific and engineering PSEs. The book also includes an extensive bibliography of over 400 references. Enabling Technologies for Computational Science illustrates the extremely broad and interdisciplinary nature of the creation and application of PSEs. Authors represent academia, government laboratories and industry, and come from eight distinct disciplines (chemical engineering, computer science, ecology, electrical engineering, mathematics, mechanical engineering, psychology and wood sciences). This breadth and diversity extends into the computer science aspects of PSEs. These papers deal with topics such as artificial intelligence, computer-human interaction, control, data mining, graphics, language design and implementation, networking, numerical analysis, performance evaluation, and symbolic computing. Enabling Technologies for Computational Science provides an assessment of the state of the art and a road map to the future in the area of problem-solving environments for scientific computing. This book is suitable as a reference for scientists from a variety of disciplines interested in using PSEs for their research.
